%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:54 AM UTC 2026
% Result : Theorem 0.08s 0.22s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 274 ( 73 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 401 ( 53 ~; 64 |; 6 &; 276 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 108 ( 0 ^; 108 !; 0 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_about_event,type,
about_event: $i > $i > $o ).
thf(tp_action,type,
action: $i > $o ).
thf(tp_cnt,type,
cnt: $i > $i > $i > $o ).
thf(tp_decl,type,
decl: $i > $i ).
thf(tp_e1,type,
e1: $i ).
thf(tp_event,type,
event: $i > $o ).
thf(tp_f1,type,
f1: $i ).
thf(tp_founds_rem,type,
founds_rem: $i > $i > $i > $o ).
thf(tp_legal_relator,type,
legal_relator: $i > $o ).
thf(tp_part_of,type,
part_of: $i > $i > $o ).
thf(tp_position,type,
position: $i > $o ).
thf(tp_rho_r,type,
rho_r: $i ).
thf(tp_rule,type,
rule: $i > $o ).
thf(tp_s,type,
s: $i ).
thf(tp_some_action,type,
some_action: $i ).
thf(tp_some_target,type,
some_target: $i ).
thf(tp_subjection,type,
subjection: $i > $o ).
thf(tp_target,type,
target: $i > $o ).
thf(1,axiom,
founds_rem @ e1 @ rho_r @ f1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',founds_rem1) ).
thf(2,axiom,
part_of @ s @ rho_r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partof_s) ).
thf(3,axiom,
cnt @ s @ ( decl @ some_action ) @ some_target,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cnt_s) ).
thf(4,axiom,
subjection @ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subj_s) ).
thf(5,axiom,
target @ some_target,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',target_t) ).
thf(6,axiom,
action @ some_action,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',action_a) ).
thf(7,axiom,
event @ e1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_e1) ).
thf(8,axiom,
rule @ f1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_f1) ).
thf(9,axiom,
legal_relator @ rho_r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rel_rho_r) ).
thf(10,axiom,
position @ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pos_s) ).
thf(11,axiom,
! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ( ( subjection @ S )
& ( cnt @ S @ ( decl @ A ) @ T )
& ( part_of @ S @ Rho )
& ( founds_rem @ E @ Rho @ R ) )
=> ( about_event @ S @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_B3) ).
thf(12,conjecture,
about_event @ s @ e1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
thf(13,negated_conjecture,
( ( about_event @ s @ e1 )
= $false ),
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,plain,
( ( about_event @ s @ e1 )
= $false ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( founds_rem @ e1 @ rho_r @ f1 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( part_of @ s @ rho_r )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,plain,
( ( cnt @ s @ ( decl @ some_action ) @ some_target )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(18,plain,
( ( subjection @ s )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( target @ some_target )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( action @ some_action )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( event @ e1 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( rule @ f1 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(23,plain,
( ( legal_relator @ rho_r )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(24,plain,
( ( position @ s )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(25,plain,
( ( ! [S: $i,A: $i,T: $i,Rho: $i,E: $i,R: $i] :
( ( ( subjection @ S )
& ( cnt @ S @ ( decl @ A ) @ T )
& ( part_of @ S @ Rho )
& ( founds_rem @ E @ Rho @ R ) )
=> ( about_event @ S @ E ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(26,plain,
( ( ~ ( about_event @ s @ e1 ) )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(27,plain,
( ( ! [S: $i,A: $i,T: $i,Rho: $i,E: $i] :
( ~ ( cnt @ S @ ( decl @ A ) @ T )
| ~ ( subjection @ S )
| ~ ( part_of @ S @ Rho )
| ! [R: $i] :
~ ( founds_rem @ E @ Rho @ R )
| ( about_event @ S @ E ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(28,plain,
( ( ! [S: $i,A: $i,T: $i,Rho: $i,E: $i] :
( ~ ( cnt @ S @ ( decl @ A ) @ T )
| ~ ( subjection @ S )
| ~ ( part_of @ S @ Rho )
| ! [R: $i] :
~ ( founds_rem @ E @ Rho @ R )
| ( about_event @ S @ E ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(29,plain,
( ( position @ s )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(30,plain,
( ( legal_relator @ rho_r )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(31,plain,
( ( rule @ f1 )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(32,plain,
( ( event @ e1 )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(33,plain,
( ( action @ some_action )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(34,plain,
( ( target @ some_target )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(35,plain,
( ( subjection @ s )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(36,plain,
( ( cnt @ s @ ( decl @ some_action ) @ some_target )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(37,plain,
( ( part_of @ s @ rho_r )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(38,plain,
( ( founds_rem @ e1 @ rho_r @ f1 )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(39,plain,
( ( ~ ( about_event @ s @ e1 ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(40,plain,
! [SV1: $i] :
( ( ! [SY6: $i,SY7: $i,SY8: $i,SY9: $i] :
( ~ ( cnt @ SV1 @ ( decl @ SY6 ) @ SY7 )
| ~ ( subjection @ SV1 )
| ~ ( part_of @ SV1 @ SY8 )
| ! [R: $i] :
~ ( founds_rem @ SY9 @ SY8 @ R )
| ( about_event @ SV1 @ SY9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(41,plain,
( ( about_event @ s @ e1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY11: $i,SY12: $i,SY13: $i] :
( ~ ( cnt @ SV1 @ ( decl @ SV2 ) @ SY11 )
| ~ ( subjection @ SV1 )
| ~ ( part_of @ SV1 @ SY12 )
| ! [R: $i] :
~ ( founds_rem @ SY13 @ SY12 @ R )
| ( about_event @ SV1 @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY15: $i,SY16: $i] :
( ~ ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
| ~ ( subjection @ SV1 )
| ~ ( part_of @ SV1 @ SY15 )
| ! [R: $i] :
~ ( founds_rem @ SY16 @ SY15 @ R )
| ( about_event @ SV1 @ SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(44,plain,
! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY18: $i] :
( ~ ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
| ~ ( subjection @ SV1 )
| ~ ( part_of @ SV1 @ SV4 )
| ! [SY19: $i] :
~ ( founds_rem @ SY18 @ SV4 @ SY19 )
| ( about_event @ SV1 @ SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(45,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
| ~ ( subjection @ SV1 )
| ~ ( part_of @ SV1 @ SV4 )
| ! [SY20: $i] :
~ ( founds_rem @ SV5 @ SV4 @ SY20 )
| ( about_event @ SV1 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(46,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
| ~ ( subjection @ SV1 )
| ~ ( part_of @ SV1 @ SV4 )
| ! [SY20: $i] :
~ ( founds_rem @ SV5 @ SV4 @ SY20 ) )
= $true )
| ( ( about_event @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(47,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
| ~ ( subjection @ SV1 )
| ~ ( part_of @ SV1 @ SV4 ) )
= $true )
| ( ( ! [SY20: $i] :
~ ( founds_rem @ SV5 @ SV4 @ SY20 ) )
= $true )
| ( ( about_event @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(48,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
| ~ ( subjection @ SV1 ) )
= $true )
| ( ( ~ ( part_of @ SV1 @ SV4 ) )
= $true )
| ( ( ! [SY20: $i] :
~ ( founds_rem @ SV5 @ SV4 @ SY20 ) )
= $true )
| ( ( about_event @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(49,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 ) )
= $true )
| ( ( ~ ( subjection @ SV1 ) )
= $true )
| ( ( ~ ( part_of @ SV1 @ SV4 ) )
= $true )
| ( ( ! [SY20: $i] :
~ ( founds_rem @ SV5 @ SV4 @ SY20 ) )
= $true )
| ( ( about_event @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(50,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
= $false )
| ( ( ~ ( subjection @ SV1 ) )
= $true )
| ( ( ~ ( part_of @ SV1 @ SV4 ) )
= $true )
| ( ( ! [SY20: $i] :
~ ( founds_rem @ SV5 @ SV4 @ SY20 ) )
= $true )
| ( ( about_event @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(51,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( subjection @ SV1 )
= $false )
| ( ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
= $false )
| ( ( ~ ( part_of @ SV1 @ SV4 ) )
= $true )
| ( ( ! [SY20: $i] :
~ ( founds_rem @ SV5 @ SV4 @ SY20 ) )
= $true )
| ( ( about_event @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(52,plain,
! [SV5: $i,SV3: $i,SV2: $i,SV4: $i,SV1: $i] :
( ( ( part_of @ SV1 @ SV4 )
= $false )
| ( ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
= $false )
| ( ( subjection @ SV1 )
= $false )
| ( ( ! [SY20: $i] :
~ ( founds_rem @ SV5 @ SV4 @ SY20 ) )
= $true )
| ( ( about_event @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(53,plain,
! [SV3: $i,SV2: $i,SV1: $i,SV6: $i,SV4: $i,SV5: $i] :
( ( ( ~ ( founds_rem @ SV5 @ SV4 @ SV6 ) )
= $true )
| ( ( subjection @ SV1 )
= $false )
| ( ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
= $false )
| ( ( part_of @ SV1 @ SV4 )
= $false )
| ( ( about_event @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(54,plain,
! [SV3: $i,SV2: $i,SV1: $i,SV6: $i,SV4: $i,SV5: $i] :
( ( ( founds_rem @ SV5 @ SV4 @ SV6 )
= $false )
| ( ( subjection @ SV1 )
= $false )
| ( ( cnt @ SV1 @ ( decl @ SV2 ) @ SV3 )
= $false )
| ( ( part_of @ SV1 @ SV4 )
= $false )
| ( ( about_event @ SV1 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(55,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,54,41,38,37,36,35,34,33,32,31,30]) ).
thf(56,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Oct 6 12:47:27 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.22
% 0.08/0.22 No.of.Axioms: 11
% 0.08/0.22
% 0.08/0.22 Length.of.Defs: 0
% 0.08/0.22
% 0.08/0.22 Contains.Choice.Funs: false
% 0.08/0.22 .
% 0.08/0.22
% 0.08/0.22 ********************************
% 0.08/0.22 * All subproblems solved! *
% 0.08/0.22 ********************************
% 0.08/0.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:55,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.08/0.22
% 0.08/0.22 %**** Beginning of derivation protocol ****
% 0.08/0.22 % SZS output start CNFRefutation
% See solution above
% 0.08/0.22
% 0.08/0.22 %**** End of derivation protocol ****
% 0.08/0.22 %**** no. of clauses in derivation: 56 ****
% 0.08/0.22 %**** clause counter: 55 ****
% 0.08/0.22
% 0.08/0.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:55,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------